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Finding the Fourth Proportional to 55,335.98, 76,358.52 and 31,458

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Solution

The fourth proportional to 55,335.98, 76,358.52 and 31,458 is: 43,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,335.98 : 76,358.52 = 31,458 : x
  2. Step 2: Convert to fraction form
    55,335.98/76,358.52 = 31,458/x
  3. Step 3: Cross multiply
    55,335.98x = 76,358.52 × 31,458
  4. Step 4: Simplify right side
    55,335.98x = 2,402,086,322.16
  5. Step 5: Solve for x
    x = 2,402,086,322.16/55,335.98
  6. Step 6: Final answer
    x = 43,409.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.